Compare Expressions: Is 0.5x×1 Equal to 0.5x+0?

To determine if the expressions $0.5x \times 1$ and $0.5x + 0$ are the same, we will simplify each using the basic properties of arithmetic:

• Step 1: Simplifying $0.5x \times 1$
  By using the multiplicative identity, we know that multiplying any number by 1 does not change its value. Thus:
  $0.5x \times 1 = 0.5x$
• Step 2: Simplifying $0.5x + 0$
  By using the additive identity, we know that adding zero to any number does not change its value. Thus:
  $0.5x + 0 = 0.5x$
• Step 3: Comparing the simplified expressions
  From the above steps, we have:
  $0.5x \times 1 = 0.5x$ and
  $0.5x + 0 = 0.5x$

Since both expressions simplify to $0.5x$, we can conclude that the expressions are indeed the same.

Therefore, the solution to the problem is Yes.